High order second derivative methods with Runge--Kutta stability for the numerical solution of stiff ODEs | ||
| Iranian Journal of Numerical Analysis and Optimization | ||
| مقاله 2، دوره 5، شماره 2 - شماره پیاپی 8، 2015، صفحه 1-10 اصل مقاله (210.98 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22067/ijnao.v5i2.40344 | ||
| نویسندگان | ||
| A. Abdi* ؛ G. Hojjati | ||
| Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. | ||
| چکیده | ||
| We describe the construction of second derivative general linear methods (SGLMs) of orders five and six. We will aim for methods which are A--stable and have Runge--Kutta stability property. Some numerical results are given to show the efficiency of the constructed methods in solving stiff initial value problems. | ||
| کلیدواژهها | ||
| Ordinary differential equation؛ General linear methods؛ Runge--Kutta stability؛ A--stability؛ Second derivative methods | ||
| مراجع | ||
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